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32128341696 = 2632116775683
BaseRepresentation
bin11101111010111111…
…111001011011000000
310001221002010212022100
4131322333321123000
51011244323413241
622432021510400
72215112253453
oct357277713300
9101832125270
1032128341696
111269767a710
126287872400
1330502c7199
1417aad9149a
15c808dd9b6
hex77aff96c0

32128341696 has 168 divisors, whose sum is σ = 101962695744. Its totient is φ = 9590423040.

The previous prime is 32128341677. The next prime is 32128341697. The reversal of 32128341696 is 69614382123.

32128341696 is a `hidden beast` number, since 3 + 212 + 8 + 341 + 6 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32128341697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386671 + ... + 462353.

It is an arithmetic number, because the mean of its divisors is an integer number (606920808).

Almost surely, 232128341696 is an apocalyptic number.

32128341696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32128341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50981347872).

32128341696 is an abundant number, since it is smaller than the sum of its proper divisors (69834354048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32128341696 is a wasteful number, since it uses less digits than its factorization.

32128341696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75779 (or 75766 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 32128341696 in words is "thirty-two billion, one hundred twenty-eight million, three hundred forty-one thousand, six hundred ninety-six".